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Cheng, T. C. Edwin; Wu, Chin-Chia; Lee, Wen-Chiung

Some scheduling problems with sum-of-processing-times-based and job-position-based learning effects. (English) Zbl 1172.90397

Inf. Sci. 178, No. 11, 2476-2487 (2008).
Summary: We introduce a new scheduling model with learning effects in which the actual processing time of a job is a function of the total normal processing times of the jobs already processed and of the job’s scheduled position. We show that the single-machine problems to minimize makespan and total completion time are polynomially solvable. In addition, we show that the problems to minimize total weighted completion time and maximum lateness are polynomially solvable under certain agreeable conditions. Finally, we present polynomial-time optimal solutions for some special cases of the \(m\)-machine flowshop problems to minimize makespan and total completion time.

Cited in 67 Documents

MSC:

90B35 Deterministic scheduling theory in operations research

Keywords:

scheduling; learning effect; single-machine; flowshop
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\textit{T. C. E. Cheng} et al., Inf. Sci. 178, No. 11, 2476--2487 (2008; Zbl 1172.90397)
Full Text: DOI Link

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